Putting a rectangular object into a circular one—didn't the astronauts on Apollo 13 have to do something like this? Learners first construct the center of a circle using perpendiculars. They then discover how to inscribe a rectangle in a circle and understand the properties of such a rectangle.

Concepts

circles, diameter, rectangles, inscribed, symmetry

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Additional Tags

math

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Instructional Ideas

• Have the class work in groups to create the required constructions

Classroom Considerations

• Activities require a compass and straightedge
• Lesson assumes that pupils already know how to do basic constructions (Module 1)
• The third installment of a 23-part module

Pros

• Reinforces concepts learned in previous lessons and modules
• Explorations keep learners involved in the subject material

Cons

• Lesson likely underestimates the amount of time necessary for the exercises

Common Core

HSG-CO.A.3